828160013 has 2 divisors, whose sum is σ = 828160014. Its totient is φ = 828160012.

The previous prime is 828160007. The next prime is 828160031. The reversal of 828160013 is 310061828.

Together with next prime (828160031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 812136004 + 16024009 = 28498^2 + 4003^2 .

It is a cyclic number.

It is not a de Polignac number, because 828160013 - 2¹⁸ = 827897869 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (828160513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414080006 + 414080007.

It is an arithmetic number, because the mean of its divisors is an integer number (414080007).

Almost surely, 2^828160013 is an apocalyptic number.

It is an amenable number.

828160013 is a deficient number, since it is larger than the sum of its proper divisors (1).

828160013 is an equidigital number, since it uses as much as digits as its factorization.

828160013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 828160013 is about 28777.7694236367. The cubic root of 828160013 is about 939.0846729683.

The spelling of 828160013 in words is "eight hundred twenty-eight million, one hundred sixty thousand, thirteen".